Atkin-Lehner |
2+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15080a |
Isogeny class |
Conductor |
15080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
5026257062450000 = 24 · 55 · 132 · 296 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 4 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-184171,30291096] |
[a1,a2,a3,a4,a6] |
j |
43178726198367422464/314141066403125 |
j-invariant |
L |
3.4714987137025 |
L(r)(E,1)/r! |
Ω |
0.43393733921282 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30160c1 120640bg1 75400m1 |
Quadratic twists by: -4 8 5 |